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Gravitational wave astronomy provides an unprecedented opportunity to test the nature of black holes and search for exotic, compact alternatives. Recent studies have shown that exotic compact objects (ECOs) can ring down in a manner similar…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Zachary Mark , Aaron Zimmerman , Song Ming Du , Yanbei Chen

Binary black hole coalescence has its peak of gravitational wave generation during the "plunge," the transition from quasicircular early motion to late quasinormal ringing. Although advances in numerical relativity have provided plunge…

General Relativity and Quantum Cosmology · Physics 2016-03-02 Richard H. Price , Sourabh Nampalliwar , Gaurav Khanna

We revisit the classic problem of gravitational wave emission by a test particle plunging into a Schwarzschild black hole both in the frequency-domain Regge-Wheeler-Zerilli formalism and in the semirelativistic approximation. We use, and…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Hector O. Silva , Giovanni Tambalo , Kostas Glampedakis , Kent Yagi

The analytical understanding of quasinormal mode ringing requires an accurate knowledge of the Green's function describing the response of the black hole to external perturbations. We carry out a comprehensive study of quasinormal mode…

General Relativity and Quantum Cosmology · Physics 2014-01-23 Zhongyang Zhang , Emanuele Berti , Vitor Cardoso

We continue our study of the decoupled wave equation in the exterior of a spherically symmetric, Schwarzschild, black hole. Because null geodesics on the photon sphere orbit the black hole, extra effort must be made to show that the high…

Analysis of PDEs · Mathematics 2007-05-23 P. Blue , A. Soffer

We present the first numerical construction of the scalar Schwarzschild Green function in the time-domain, which reveals several universal features of wave propagation in black hole spacetimes. We demonstrate the trapping of energy near the…

General Relativity and Quantum Cosmology · Physics 2012-09-27 Anıl Zenginoğlu , Chad R. Galley

We numerically solve the inhomogeneous Zerilli-Moncrief and Regge-Wheeler equations in the time domain. We obtain the gravitational waveforms produced by a point-particle of mass $\mu$ traveling around a Schwarzschild black hole of mass M…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Karl Martel

We revisit the problem of scalar and electromagnetic waves impinging upon a Schwarzschild black hole from complex angular momentum techniques. We focus more particularly on the associated differential scattering cross sections. We derive an…

General Relativity and Quantum Cosmology · Physics 2019-06-04 Antoine Folacci , Mohamed Ould El Hadj

Inspirals of stellar mass compact objects into supermassive black holes are known as extreme mass ratio inspirals. In the simplest approximation, the motion of the compact object is modeled as a geodesic in the space-time of the massive…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Ondřej Zelenka , Georgios Lukes-Gerakopoulos , Vojtěch Witzany , Ondřej Kopáček

Disturbing of a spacetime geometry may result in the appearance of an oscillating and damped radiation - the so-called quasinormal modes. Their periods of oscillations and damping coefficients carry unique information about the mass and the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Janusz Karkowski , Edward Malec , Zdobyslaw Swierczynski

The spectrum of the quasinormal modes of the gravitational waves emitted during the ringdown phase following the merger of two black holes is of primary importance in gravitational astronomy. However, the spectrum is extremely sensitive to…

General Relativity and Quantum Cosmology · Physics 2024-07-30 A. Ianniccari , A. J. Iovino , A. Kehagias , P. Pani , G. Perna , D. Perrone , A. Riotto

We investigate the wave optics in the Schwarzschild spacetime. Applying the standard formalism of wave scattering problems, the Green function represented by the sum over the partial waves is evaluated using the Poisson sum formula. The…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Yasusada Nambu , Sousuke Noda

This study delves into the existence of dark matter around supermassive black holes in galactic cores using a novel gravitational model. By analyzing gravitational waves emitted during the ringdown phase of black holes under different field…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Jie Liang , Dong Liu , Hao-Jie Lin , Zheng-Wen Long

The gravitational-wave GW170817 is associated to the inspiral phase of a binary neutron star coalescence event. The LIGO-Virgo detectors sensitivity at high frequencies was not sufficient to detect the signal corresponding to the merger and…

General Relativity and Quantum Cosmology · Physics 2020-02-12 Michalis Agathos , Francesco Zappa , Sebastiano Bernuzzi , Albino Perego , Matteo Breschi , David Radice

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

We investigate the ringdown waveform and reflectivity of a Lifshitz scalar field around a fixed Schwarzschild black hole. The radial wave equation is modified due to the Lorentz breaking terms, which leads to a diversity of ringdown…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Naritaka Oshita , Niayesh Afshordi , Shinji Mukohyama

An expected source of gravitational waves for future detectors in space are the inspirals of small compact objects into much more massive black holes. These sources have the potential to provide a wealth of information about astronomy and…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Jonathan R Gair , Nicolas Yunes , Carl M Bender

We estimate the degree of squeezing possible in gravitational waves due to nonlinear gravitational effects in the weakly perturbative regime. Using the predicted amplitude ratios for higher harmonic generation in the ringdown phase of a…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Sreenath K. Manikandan , Frank Wilczek

Machine learning, particularly neural networks, has rapidly permeated most activities and work where data has a story to tell. Recently, deep learning has started to be used for solving differential equations with input from physics, also…

General Relativity and Quantum Cosmology · Physics 2024-01-04 Nirmal Patel , Aycin Aykutalp , Pablo Laguna

We study axial gravitational perturbations of the asymptotically flat Bardeen spacetime interpreted as a string-T-duality-inspired quantum-corrected Schwarzschild black hole. Starting from the anisotropic-fluid background, we derive the…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Jakhongir Kurbanov , Muhammad Matyoqubov